i was trying to find the limits of a function when i came onto a problem

square root of ( (x^2) + 9x + 3)

multiply by (1/x)

this should simplify to:

square root of ((x) + (9/x) + (3 / (x^2) )

how does this work?

i was trying to slove this problem

find the limit of

((square root of ((x^2) + 9x + 3)) minus x

lim when x approaches infinity

just convert the 1/x into square root of (1/ (x^2)

this makes it possible to simplify the stuff under the main square root.

this is why x^2 simplifies to 1, 9x simplifies to 9/x, etc.

thanks to me?